There appears to be a serious misconception of what I'm presenting here. When I say time-travel I do not mean what we see in back to the future, but only dilating time to go forward permanently. Time dilation is the difference in time experienced by separate entities.
My thought is that would it be possible to create a contraption that we can use to dilate time. So if it was the slingshot I used in my example for every minute I experience on it 10 earth minutes go by. So if the experience was 6 minutes long to me, it would be 60 minutes to everyone off the ride on Earth. Here is a video explaining the Einstein's theory of Relativity (Time Dilation)